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(Non)Existence of pleated folds: How paper folds between creases - MaRDI portal

(Non)Existence of pleated folds: How paper folds between creases (Q659705)

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(Non)Existence of pleated folds: How paper folds between creases
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    (Non)Existence of pleated folds: How paper folds between creases (English)
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    24 January 2012
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    It is proved that it is impossible to fold the pleated hyperbolic paraboloid with the standard crease pattern in the standard mathematical model of zero-thickness paper. Nevertheless, the authors show that with additional creases the folding is possible and they conjecture that this is also the case for the circular version of the model.
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    origami
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    hypar
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    hyperbolic paraboloid
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    folding
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    developable surface
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